Global Hyperbolicity and Self-adjointness
General Relativity and Quantum Cosmology
2025-05-19 v2 Mathematical Physics
math.MP
Abstract
We show that the spatial part of the Klein-Gordon operator is an essentially self-adjoint operator on the Cauchy surfaces of various classes of spacetimes. Our proof employs the intricate connection between global hyperbolicity and geodesically complete Riemannian surfaces, and concludes by proving global hyperbolicity of the spacetimes under study.
Cite
@article{arxiv.2410.04879,
title = {Global Hyperbolicity and Self-adjointness},
author = {Markus B. Fröb and Albert Much and Kyriakos Papadopoulos},
journal= {arXiv preprint arXiv:2410.04879},
year = {2025}
}
Comments
18 pages, matches published version